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Quantum states of a particle in a box via unilateral Fourier transform

Abstract

The quantum problem of stationary states of a particle in a box is revisited by means of the unilateral Fourier transform. Homogeneous Dirichlet boundary conditions demand a finite Fourier sine transform which is actually the Fourier sine series.

Keywords:
Particle in a box; Infinite square-well potential; Unilateral Fourier transform

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